Answered: Calculate the reactions at the joints A…

Engineering

Mechanical Engineering

Calculate the reactions at the joints A and C in the bar in the figure. (The bending stiffness of the rod is EI).

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.22P: Find support reactions at A and D and then calculate the axial force N. shear force 1 and bending...

See similar textbooks

Related questions

Q: A circular Euler column with one end fixed and the other pinned (or hinged or simply-supported) is…

A: Let us consider a column AB of length L and uniform cross sectional area fixed at the end A and…

Q: Anchor of the beam given in the figure is built-in support, B point is movable support and G joint.…

A: Let the reactions at fixed support 'A' be: RAH , RAV , MA. Let the reactions at pin joint 'G' be:…

Q: (a) sketch the probable buckled shape at the first buckling force (b) count the number of quarter…

A: The probable buckled shape at the first buckling force is shown below.

Q: For the Pin Jointed structure shown in Figure Q4: a) Draw free body diagram of the structure and…

Q: A vertical P load in the middle of the weightless AB bar in the figure references By drawing the…

Q: Find the support reactions of the beam given in the figure.

Q: A Steel Shaft 50 Mm Diameter And 500 Mm Long Is Subjected To A Twisting Moment Of 1100 N-M. If The…

A: Answer: ◆ The modulus of rigidity for the material of the shaft 73.5 GPa. ◆ The tensile stress…

Q: 3. A bronze bar having a cross-sectional, area of 200 mm? carries the axial loads shown in the…

Q: A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a…

A: Provided that at bearing B the tension at the loose side is 15 percent of tension at the tight side.…

Q: The cantilever beam in the figure has a fixed support at A and is under the actions of a uniformly…

Q: Rod (2) Bar (2) is simplified into a simple beam with a load in the middle of the rod. a. Draw a…

Q: Find the external reactions at support A (fix-end) for the beam shown in the figure. 7 kN 4 kN/m 30…

A: Given data: Moment=30 kN.m Need to determine the external reactions at support A.

Q: A simply supported Aluminium beam of length 18m is subjected to concentrated loads of 15 KN amd12KN…

Q: 3 For the simply supported beam shown in the figure, point (C) may represent a point of…

A: Take moment about the point A, From the vertical equilibrium of forces,

Q: Q.A solid structure of rectangular cross-section is simply supported, as shown in Figure Q. The…

A: Given: The elastic modulus, E = 200 GPa The dimension of cross-section of beam, x = 100 mm = 0.1 m

Q: 3. Figure 3 shows a steel beam supported at A and B and loaded by a vertical force of 4kN at C. The…

Q: 6. The upper beam in Figure 1-64 is supported at D and a roller at C which separates the upper and…

A: Find the reactions at point A,B,C and D.

Q: A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a…

Q: For the beam shown in the figure below: (i) (ii) (iii) Determine all the support reactions. Draw the…

A: Given:- Beam with different loading and supports. C and E are hinges B, F, and G are roller A is pin…

Q: Draw (FBD) and calculate the support reactions in the simply support beam ABCD below 3kN 5kN bo 60°…

Q: Consider the circular bent rod with diameter 20 mm. The free-end of the bend is subjected to loads…

Q: Calculate the support reaction at A and B for the beam shown in the figure below. Take F= 570 N.

A: Given: F=570 N To determine: Reaction forces

Q: 32 - Support reactions will be found in the gerber beam whose loading condition is given in the…

A: Draw a diagram for the problem showing the reactions at supports A, B, and C. Here, Ax and Ay are…

Q: For the prismatic beam attached to the load shown in the figure, get the reactions and show them in…

A: .

Q: please very urgent In the bar in the figure, on the joints A and CCalculate the reactions. (Bending…

A: Drawing the free body diagram of the given beam, Hence the horizontal reaction at C is P. To…

Q: Anchor point of the beam given in the figure is fixed support and B point is movable support. Find…

Q: (4) The Jib crane shown in figure carries load of W. If the maximum load in the tie is 25 kN,…

A: Given ,

Q: For the simply supported beam shown in the figure, if (q=30 KN/m) and (L=6m), then, the point of…

A: Consider the free body diagram of the beam as shown below. The distributed load can be assumed to…

Q: Problem 1 A stiff horizontal beam weighing 400 N is supported by four helical springs with stiffness…

A: helical springs resist forces when elongated or compressed which is directly proportional to the…

Q: A long, slender bar in the shape of a rightcircular cone with length L and base diameter dhangs…

A: Given Ny = axial force acting on element dy Ay = cross-sectional area at element dy AB =…

Q: A G Support reactions will be found in the gerber beam whose loading condition is given in the…

Q: he beam is subjected to a point load and a distribution load as shown in Figure 2-1 below, and the…

Q: Consider the bar/roller assembly shown in the figure below. The roller and surface at point A are…

A: A free body diagram is defined as a diagrammatic representation of all the forces acting in a…

Q: For the frame shown in the figure , the bending moment at Bequals

Q: Problem 2: For the beam shown in Figure A. Find the reaction at support B (RB) B. Find the reaction…

A: Given Data

Q: Find the external reactions at supports A (hinge) and B (roller) for the beam shown in the figure.…

A: To find: The external reaction supports A and B. FBD: The free body diagram shown below:

Q: PROBLEM NO. 2 A 12KN AND 50KN WEIGHTS ARE ATTACTHED TO THE CANTILEVER BEAM IN THE FIGURE BELOW…

A: Given data: - The weight at point E is WE = 50 kN. The weight at point C is WC = 12 kN. The…

Q: As in the figure, two cylindrical rods, one steel and the other brass, are combined in C. In A and…

A: Consider the free body diagram shown below for the given beam.

Q: Q2. A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The…

A: Given: The elastic modulus, E = 200 GPa The dimension of cross-section of beam, x = 100 mm = 0.1 m

Q: Consider the truss shown in the figure below. Calculate the reaction of the roller support at point…

A: Taking moment about point A B*5=10*10+10*(10+10) B*5=100+200 B*5=300 B=60 lbs

Q: In the figure, aluminum [E = 75 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a…

Q: Q2. A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The…

A: Given: The elastic modulus, E = 200 GPa

Q: The simply supported beam is subjected to the loads as described in the figure and parameter table.…

Q: For the simply supported beam shown below find reactions at supports A and В. 2m 14KN 3m 28KN 2m

Q: Example 9:Draw the moment diagram for the tapered frame shown in Fig. 4- 17a.Assume the support at A…

A: Given data To draw the moment diagram for the tapered frame shwon in fig by assuming the support at…

Q: Bonus problem) Analyze the following frame degrees of freedom. Find reactions and finally, ustant…

A: 1 Free BMDBMAB(Maximum)=WL4=12×124=36kip.ftBMBCMaximum=Wl28=3×1228=54kip.ft2Area of BMDFor span…

Q: B 1.5 0.5 0.5 (14 kN) (s0 kN)

Q: 4. Consider the truss shown in the Figure 6 below: 250 KN C. 100 KN 450 450 B 5m Figure 6 a.…

Q: For the beam shown in the figure below: i- Calculate the support reactions at B and D. ii- Calculate…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Calculate the reactions at the joints A and C in the bar in the figure. (The bending stiffness of the rod is EI).

Expert Solution

Step 1

Step 2

Step 3

Step by step

Solved in 6 steps with 6 images

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Repeat Problem 2.5-9 for the flat bar shown in the figure but assume that and that
Repeat Problem 6.2-1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is aligned with the top of the beam as shown in the figure.
Repeat Problem 2.3-4, but now include the weight of the bar. Sec Table 1.1 in Appendix I for the weight density of steel.
Consider the plane truss with a pin support at joint 3 and a crtica1 roller support at joint 5 (see figure). (a) Find reactions at support joints 3 and 5. (b) Find axial forces in truss members 11 and 13.
A long, slender bar in the shape of a right circular cone with length L and base diameter d hangs vertically under the action of its own weight (see figure). The weight of the cone is W and the modulus of elasticity of the material is E. Derive a formula for the increase S in the length of the bar due to its own weight. (Assume that the angle of taper of the cone is small.)
A foot bridge on a hiking trail is constructed using two timber logs each having a diameter d = 0.5 m (see figure a). The bridge is simply supported and has a length L = 4 m. The top of each log is trimmed to form the walking surface (see Fig, b)LA simplified model of the bridge is shown in Fig. g. Each log must carry its own weight w = 1.2 kN/m and the weight (P = 850 N) of a person at mid-span, (see Fig. b). Determine the maximum tensile and compressive stresses in the beam (Fig, b) due to bending. If load h is unchanged, find the maximum permissible value of load ... if the allowable normal stress in tension and compression is 2.5 M Pa.
A plane truss has a pin support at F and a roller support at D (see figure). (a) Find reactions at both supports (b) Find the axial force in truss member FE.
Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure). The lengths of the segments of the bar are L1= 0.3 m and L2= 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E = 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P, what is the maximum stress ??maxin the bar?
A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a car weighing 3450 lb is traveling at velocity v = 7 mph when it strikes the spring, what is the maximum shortening of the spring?
Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
-7 Repeat Problem 2.3-5, but n include the weight of the bar. See Table I-I in Appendix I for the weight density of steel.
A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the figure by a continuous cable CAD. The cable is pinned at C and D and runs over a pulley at A. (a) Find reactions at supports A and B. (b) Find the force in the cable.